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Finding the Third Proportional to 31,411.88 and 67,744.31

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Solution

The third proportional to 31,411.88 and 67,744.31 is: 146,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.88 : 67,744.31 = 67,744.31 : x
  2. Step 2: Convert to fraction form
    31,411.88/67,744.31 = 67,744.31/x
  3. Step 3: Cross multiply
    31,411.88x = 67,744.31 × 67,744.31
  4. Step 4: Simplify right side
    31,411.88x = 4,589,291,876.10
  5. Step 5: Solve for x
    x = 4,589,291,876.10/31,411.88
  6. Step 6: Final answer
    x = 146,100.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.